find the quotient

18 ÷ 3/10​

If a polynomial function has integer coefficients, the every rational zero of the function has the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

The rational zero theorem says that if a polynomial has integer coefficients then any rational zeros must be of the form p/q where p is the factor of the constant term and q is the factor pf the leading coefficients.

The rational zero theorem is used to determine the rational roots of a polynomial function.

Rational Zero Theorem statement:-

The rational zero theorem states that each rational zero(s) of a polynomial wit integer coefficients

f(x) = anxⁿ + an-1xⁿ⁻¹ + ... + a₂x² + a₁x + a₀ is of the form p/q where,

p is a factor of the constant a₀,

q  is a factor of the leading coefficient an,

and p and q are relatively prime.

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Answer:

steve need to buy 4 packages.

Step-by-step explanation:

1 package=10markers. 40 marker= 40/10=4

Answer:

4

Step-by-step explanation:

40/10 = 4/1 = 4

Answer:

-24

Step-by-step explanation:

8(-3) is 8 multiplied by (-3) and thus the answer is -24

Answer:

the answer is -24 hope I helped

Solution:

The z value is expressed as

Answer:

This is a statement. Not a question.

Step-by-step explanation:

Answer:

A) \(\sqrt{8x/3}\)

Step-by-step explanation:

\(\sqrt{8x^{2} } /\sqrt{3x}\)

\(\sqrt{8x^{2}/{3x}\)

\(\sqrt{8x/3}\)

Therefore, A is correct

The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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Answer:

-------------------------

Let the distance we are looking for be d.

If cat runs d meters, then mouse runs 160 m less because of the head, and the ratio of the distance they cover is 9/7.

Set up an equation to reflect it:

Solve it for d:

So, the cat must run 720 m to catch the mouse.

Answer:

I think its Regina

Step-by-step explanation:

cause I cross multiplied all the numbers by I which represented an hour and Regina had the lowest

Answer:

−8

Step-by-step explanation:

=−16+(4)(2)

=−16+8

=−8

The standard normal distribution has a cumulative distribution function (probability that the random variable, in this case the temperature, is less than a given number) well-known as erf, and the probability of \(T\in[-2.21,-1.52]\) is \(erf(-1.52)-erf(-2.21)\approx 0.0298109\) (found using WolframAlpha)

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Answer:

A6n+4

Step-by-step explanation:

Answer:

this answer was 10 times

Answer:

2+4+ccc

Step-by-step explanation:

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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If tan Ф = 15/8 then we have these trigonometric functions cosec Ф = 17/15, sec Ф = 17/8 and cot Ф = 8/15.

According to the question,

We have the following information:

Tan Ф = 15/8

We know that in this trigonometric function we have perpendicular divided by base.

Now, we can find the hypotenuse using the Pythagoras theorem:

Let's denote hypotenuse with h, perpendicular with p and base with b.

\(h^{2} =p^{2} +b^{2}\)

\(h^{2}\) = \((15)^{2} +(8)^{2}\)

\(h^{2} = 225+64\\h^{2} = 289\\h = \sqrt{289}\)

h = 17 units

Now, we have the following values:

Cosec Ф = 17/15 (Hypotenuse/perpendicular)

Sec Ф = 17/8 (h/b)

Cos Ф = 8/17 (b/h)

Cot Ф = 8/15 (b/p)

Hence, the correct options are A, B and D.

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Answer:

Step-by-step explanation:

You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and

plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy

the guitar? Explain your answer.

15 hours × 3 weeks × $9 per hour

15 × 3 × 9 =

45 × 9 = 405$

The answer is YES

Answer:

graph shown in image below

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: 3.75 Square Meters

Step-by-step explanation: I am not sure exactly what you asked for here, I chose to take it as the one wall being 5 meters long, and the other being 3/4 meter long. If this was the right senario, then what you would do to solve it, and what I did, is just multiply 5*3/4 or if it makes it simpler, 5*.75

Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:36

Step-by-step explanation:

Answer:

A is neither, B is direct, and C is inverse

Step-by-step explanation

In B, as x increases y also increases, in C as x increases y decreases, and in A it's neither because it's not one line (if you graphed it you would understand what I mean).  Though I have no idea what is constant of variations.

Answer: 10.50

Explain:

Egg

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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The length of DE is  25. So correct option is (4).

In geometry, the term "parallel" refers to two lines that are equidistant from each other over their entire length and will never intersect, no matter how far they are extended. In other words, two parallel lines are parallel if they lie in the same plane and maintain the same distance between them at all times.

Since AB is parallel to DE and BD is perpendicular to both AB and DE, by alternate interior angles, we have:

angle BDA = angle DEC

Since BD is 7 and BC is 15, we have:

triangle BCD is a 7-15-17 right triangle (the Pythagorean theorem)

So, angle BDA = angle DEC = 90 - arctan(7/15) = arctan(15/7).

Also, since AB is parallel to DE, and BD is perpendicular to both AB and DE, we have:

angle ABD = angle CDE

So, by the vertical angles theorem, we have:

angle ABD = angle CDE = 90 degrees - arctan(15/7) = arctan(7/15)

Then, by the Pythagorean theorem, the length of DE can be found as:

\((DE)^{2}\) = \((AB)^{2}\) + \((BD)^{2}\) = \(21^{2}\) + \(7^{2}\) = 441 + 49 = 490

So, DE = \(\sqrt{490}\) = 2\(\sqrt{122}\) = 2 * 11 = 22

Therefore, the length of DE is (4) 25.

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The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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